Generation of dual N-Channel Filterbanks with Hilbert-Transformed Mother Wavelets

Steffen P, Brandhuber W (2008)

Publication Language: English

Publication Type: Conference contribution

Publication year: 2008

Conference Proceedings Title: Proceedings European Signal Processing Conference (EUSIPCO)

Event location: Lausanne CH

Abstract

We reconsider the problem of generating a dual filterbank to a given one with N channels such that its N - 1 mother wavelets will be related to those of the original one by the Hilbert-transform. Known solutions treat the case of unitary filterbanks, while treats the biorthogonal case and the overcomplete case. We present a solution which is valid for arbitrary filterbanks and obtain identical results. This fact indicates that the proposition of unitarity is not necessary at all. Moreover, the phase condition is obtained in a constructive way and is given by a closed form expression.

How to cite

APA:

Steffen, P., & Brandhuber, W. (2008). Generation of dual N-Channel Filterbanks with Hilbert-Transformed Mother Wavelets. In Proceedings European Signal Processing Conference (EUSIPCO). Lausanne, CH.

MLA:

Steffen, Peter, and Wolfgang Brandhuber. "Generation of dual N-Channel Filterbanks with Hilbert-Transformed Mother Wavelets." Proceedings of the 16th European Signal Processing Conference, Lausanne 2008.

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